Let A = {x, y, z} and B = {1, 2}. Find the number of relations from to A to B.

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Solution

Here A = {x, y, z} and B = {1, 2}

Number of elements in set A = 3

Number of elements in set B = 2

Number of subsets of $A \times B = 3 \times 2 = 6$

Number of relations from A to $B = 2^{6} .$

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